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Simplifying (2x)(3y + z) = 0 Remove parenthesis around (2x) 2x(3y + z) = 0 (3y * 2x + z * 2x) = 0 (6xy + 2xz) = 0 Solving 6xy + 2xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y + z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3y + z)' equal to zero and attempt to solve: Simplifying 3y + z = 0 Solving 3y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 3y + -3y + z = 0 + -3y Combine like terms: 3y + -3y = 0 0 + z = 0 + -3y z = 0 + -3y Remove the zero: z = -3y Add '-1z' to each side of the equation. z + -1z = -3y + -1z Combine like terms: z + -1z = 0 0 = -3y + -1z Simplifying 0 = -3y + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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